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AP Chemistry
5.3 Concentration Changes Over Time
5.1 Reaction Rates
IntermediateMCQGraphicalConceptual17.5k
Concentration of \(\text{H}_2\text{O}_2\text{(aq)}\) as a function of reaction time.
Concentration of \(\text{H}_2\text{O}_2\text{(aq)}\) as a function of reaction time.
A student investigates the kinetics of the first-order decomposition of hydrogen peroxide at a constant temperature of \(298\text{ K}\):

\[ 2\text{H}_2\text{O}_2\text{(aq)} \rightarrow 2\text{H}_2\text{O(l)} + \text{O}_2\text{(g)} \]

The concentration of \(\text{H}_2\text{O}_2\text{(aq)}\) is monitored over time, producing the curve shown in the graph. The student identifies the following four reaction rate values:

\(r_0\): the instantaneous rate of decomposition at \(t = 0\text{ s}\)
\(r_1\): the instantaneous rate of decomposition at \(t = 100\text{ s}\)
\(r_2\): the instantaneous rate of decomposition at \(t = 200\text{ s}\)
\(r_{\text{avg}}\): the average rate of decomposition over the time interval from \(t = 0\text{ s}\) to \(t = 100\text{ s}\)

Which of the following correctly ranks these four rates from greatest to least?

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